Identify the type of the following sequence:
$1.2 + {2.2}^{2} + {3.2}^{3} + . . . . . + 100. 2^{100}$

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AGP

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Solution

The correct option is D AGP
Here, in the series:
$1, 2, 3, . . ., 100$ are in A.P.
and $2, 2^{2}, 2^{3}, . . . . ., 2^{100}$ are in G.P.
$∴$ The series is in A.G.P.

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Similar questions

1. 2 + 2. 2^{2} + 3. 2^{3} + . . . + 100. 2^{100}

1.2 + {2.2}^{2} + {3.2}^{3} . . . . . + {100.2}^{100}

1.2 + {2.2}^{2} + {3.2}^{3} + . . . + {100.2}^{100}

S = 1.2 + {2.2}^{2} + {3.2}^{3} + . . . . . + {100.2}^{100}

S

Find the sum of the series $1.2 + {2.2}^{2} + {3.2}^{2} + . . . . . .100 {.2}^{100}$

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